Least Common Multiple of 8956 and 8960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8956 and 8960 the smallest integer that is 20061440 that is divisible by both numbers.

Least Common Multiple (LCM) of 8956 and 8960 is 20061440.

LCM(8956,8960) = 20061440

LCM of 8956 and 8960

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8956 and 8960

LCM of 8956 and 8960 is 20061440

Least common multiple can be found by multiplying the highest exponent prime factors of 8956 and 8960. First we will calculate the prime factors of 8956 and 8960.

Prime Factorization of 8956


2 8956
2 4478
2239 2239
1

Prime factors of 8956 are 2,2239. Prime factorization of 8956 in exponential form is:

8956 = 22×22391

Prime Factorization of 8960


2 8960
2 4480
2 2240
2 1120
2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 8960 are 2, 5,7. Prime factorization of 8960 in exponential form is:

8960 = 28×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 8956 and 8960.

LCM(8956,8960) = 28×51×71×22391
LCM(8956,8960) = 20061440

Factors of 8956

List of positive integer factors of 8956 that divides 8956 without a remainder.

1, 2, 4, 2239, 4478, 8956

Factors of 8960

List of positive integer factors of 8960 that divides 8960 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960

Least Common Multiple of 8956 and 8960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8956 and 8960, than apply into the LCM equation.

GCF(8956,8960) = 4
LCM(8956,8960) = ( 8956 × 8960) / 4
LCM(8956,8960) = 80245760 / 4
LCM(8956,8960) = 20061440

Properties of LCM 8956 and 8960

(i) The LCM of 8960 and 8956 is associative

LCM of 8956 and 8960 = LCM of 8960 and 8956

Related Least Common Multiples of 8956

Related Least Common Multiples of 8960

Frequently Asked Questions on LCM of 8956 and 8960

1. What is the LCM of 8956 and 8960?

Answer: LCM of 8956 and 8960 is 20061440.

2. What are the Factors of 8956?

Answer: Factors of 8956 are 1, 2, 4, 2239, 4478, 8956. There are 6 integers that are factors of 8956. The greatest factor of 8956 is 8956.

3. What are the Factors of 8960?

Answer: Factors of 8960 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960. There are 36 integers that are factors of 8960. The greatest factor of 8960 is 8960.

4. How to Find the LCM of 8956 and 8960?

Answer:

Least Common Multiple of 8956 and 8960 = 20061440

Step 1: Find the prime factorization of 8956

8956 = 2 x 2 x 2239

Step 2: Find the prime factorization of 8960

8960 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 20061440 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 2239

Step 4: Therefore, the least common multiple of 8956 and 8960 is 20061440.